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2 years ago

F(x)=2(x-4)(x+1) how do i convert this factored form to standard form?

1 answer:

5 0

I'd would do the FOIL method and then distribute the 2. But you can also distribute first. Either way, they want you to expand it.

(x - 4)(x + 1) = x(x) + x(1) - 4(x) - 4(1)

Simplify

x² + 1x - 4x - 4

Combine like terms:

x² - 3x - 4

Now, bring back that 2 to distribute.

2(x² - 3x - 4) = 2(x²) + 2(- 3x) + 2(- 4)

f(x) = 2x² - 6x - 8

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(5,12)and (2,6) rate of change?<br> Initial value?<br> HURRY i NEED this done.

Otrada [13]

Answer:

Part 1) The rate of change is $2$

Part 2) The initial value is $2$

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or rate of change

b is the y-intercept or initial value

step 1

Find the slope or rate of change

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points

(5,12)and (2,6)

substitute the values in the formula

$m=\frac{6-12}{2-5}$

$m=\frac{-6}{-3}$

$m=2$

therefore

The rate of change is $2$

step 2

Find the initial value

we have

$m=2$

$point\ (2,6)$

substitute in the equation $y=mx+b$

$6=2(2)+b$

solve for b

$6=4+b$

$b=2$ ---> initial value

The linear equation is equal to

$y=2x+2$

The y-intercept or initial value is 2

8 0

2 years ago

Solve 7 + x - 15 = -2 2/3 Please help!!! show your work please!

Margaret [11]

Firstly let’s make the -2 2/3 easier

-2*2/3= -4/3

Then we will move all the numbers to one side and keep the x on the other side. Remember when u move a negative from one side of the equal sign it changes to positive and if u move a positive it changes to a negative.

X= -4/3+15-7
=-4/3+8
=-4/3+24/3 (To add fractions the denominator has to be the same, and 24/3 is the same as 8)

X=20/3

Hopefully this helps

3 0

2 years ago

The difference between 7/10 and 3 2/5

Cloud [144]

Answer:

2 7/10

Step-by-step explanation:

To find difference we subtract.

3 2/5 - 7/10 = 2 7/10

The answer is 2 7/10. Please mark brainliest if possible.

8 0

1 year ago

A store is having a 20%-off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purc

grin007 [14]

Answer:

The original price of her purchase was $65.

Step-by-step explanation:

From the information given, you know that $13 represents 20% of the original price and you can use a rule of three to find the value that represents 100%, which would be the original pice of her purchase:

$13 → 20%

x ← 100%

x=(13*100)/20

x=1300/20

x=65

According to this, the answer is that the original price of her purchase was $65.

8 0

2 years ago

Bill needs to find the area of the ground covered by a conical tent. The tent is 12 feet tall and makes a 70° angle with the gro

Pie

Answer:

Step-by-step explanation:

To get the area of the cone we need to find the radius first.

tan 70=r/12

r=12tan 70

area of a circle is given by:

A=πr²

thus the area of the ground covered by the tent will be:

A=π(12tan70)²

The answer is

A] A=π(12tan70°)²

3 0

2 years ago